Finding the Fourth Proportional to 16,414.84, 22,658.30 and 9,702.78

Step by Step Solution

1. Step 1: Write the proportion equation
   16,414.84 : 22,658.30 = 9,702.78 : x
2. Step 2: Convert to fraction form
   16,414.84/22,658.30 = 9,702.78/x
3. Step 3: Cross multiply
   16,414.84x = 22,658.30 × 9,702.78
4. Step 4: Simplify right side
   16,414.84x = 219,848,500.07
5. Step 5: Solve for x
   x = 219,848,500.07/16,414.84
6. Step 6: Final answer
   x = 13,393.28